Fold 2 - Understanding why coefficient 89663 was selected
Tag: TOOLS
Selected Coefficient: 89663
Taxonomy Path: 23.1.13
Taxonomy Name:
Products with this tag: 14
Unique residual values tried: 12
The algorithm tries each unique residual value as a candidate coefficient and selects the one with the lowest total p-adic loss. The selected row is highlighted.
| Candidate Value | Total P-adic Loss | Taxonomy Path | P-adic Expansion | Taxonomy Name | Selected? |
|---|---|---|---|---|---|
| 89663 | 11.012048 | 23.1.13 | 13.1.23 (13*83^2 + 83 + 23) | Yes | |
| 189 | 11.024096 | 23.2 | 2.23 (2*83 + 23) | No | |
| 552377 | 12.000000 | 12.15.80 | 80.15.12 (80*83^2 + 15*83 + 12) | No | |
| 4370202595 | 12.000000 | 26.1.5.7.9.1 | 1.9.7.5.1.26 (3939040643 + 9*83^4 + 7*83^3 + 5*83^2 + 83 + 26) | No | |
| 4037063 | 12.000000 | 26.1.5.7 | 7.5.1.26 (7*83^3 + 5*83^2 + 83 + 26) | No | |
| 12151707202 | 13.000000 | 72.3.13.4.7.3 | 3.7.4.13.3.72 (3*83^5 + 7*83^4 + 4*83^3 + 13*83^2 + 3*83 + 72) | No | |
| 0 | 13.000000 | 0 | 0 (0) | No | |
| 15901982297 | 13.000000 | 13.3.2.6.3.4 | 4.3.6.2.3.13 (4*83^5 + 3*83^4 + 6*83^3 + 2*83^2 + 3*83 + 13) | No | |
| 55874 | 13.000000 | 15.9.8 | 8.9.15 (8*83^2 + 9*83 + 15) | No | |
| 1770912 | 13.000000 | 24.5.8.3 | 3.8.5.24 (3*83^3 + 8*83^2 + 5*83 + 24) | No | |
| 428233845 | 13.000000 | 76.80.77.1.9 | 9.1.77.80.76 (9*83^4 + 571787 + 77*83^2 + 80*83 + 76) | No | |
| 12103072010 | 13.000000 | 58.17.8.2.6.3 | 3.6.2.8.17.58 (3*83^5 + 6*83^4 + 2*83^3 + 8*83^2 + 17*83 + 58) | No |
These are the training products that have the "TOOLS" tag (processing sequence 7106). The residual is the encoded taxonomy value minus all coefficients from previously processed tags.
| Product ID | Title | Residual Before | Taxonomy Before | Tags Already Processed | Residual After | Taxonomy After | Tags Not Yet Processed |
|---|---|---|---|---|---|---|---|
| 28493 | Lash Assistant Eyeliner Adhesive | 15901982297 | none | 15901892634 | none | ||
| 8619 | Waterless Wash Wax Mop Kits | 12151707202 | BOAT | 12151617539 | none | ||
| 8604 | Waterless Wash Wax Mop 15" with Deluxe Pole - Extends 3' 9" to 9' | 12103072010 | BOAT | 12102982347 | none | ||
| 21052 | Stan's NoTubes Tire Sealant Injector | 4370202595 | none | 4370112932 | none | ||
| 28238 | TopGraft - The Gardener's Grafter | 428233845 | GARDENING, RR_TRACK_HOUSEHOLD | 428144182 | none | ||
| 21173 | Silca Italian Army Knife Bicycle Tool - Nove | 4037063 | none | 3947400 | none | ||
| 25453 | Minifig Olive Green Jerry Can | 1770912 | none | 1681249 | none | ||
| 21177 | Silca Ypsilon Y-Wrench and Bit Driver Tool | 552377 | none | 462714 | none | ||
| 24718 | Feedback Sports Fixed 3-Way Hex Tool | 552377 | none | 462714 | none | ||
| 21174 | Silca Italian Army Knife Bicycle Tool - Tredici | 89663 | none | 0 | none | ||
| 20956 | Feedback Sports Ride Prep Portable Tool Kit | 89663 | none | 0 | none | ||
| 21170 | Revelate Designs + Wolf Tooth ToolCash Wallet | 55874 | none | -33789 | none | ||
| 24717 | Feedback Sports Alpine Digital Scale | 189 | none | -89474 | none | ||
| 29458 | Urban Insect Nester | 0 | GARDENING | -89663 | none |